Unbiasedness of the Chi-Square, Likelihood Ratio, and Other Goodness of Fit Tests for the Equal Cell Case
نویسندگان
چکیده
منابع مشابه
Chi-Square Test for Goodness of Fit
Scientists often use the Chi-square (χ) test to determine the “goodness of fit” between theoretical and experimental data. In this test, we compare observed values with theoretical or expected values. Observed values are those that the researcher obtains empirically through direct observation. The theoretical or expected values are developed on the basis of an established theory or a working hy...
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A new approach of parameterization is proposed to construct a general goodnessof-fit test. It can not only generate traditional tests (including the Kolmogorov–Smirnov, Cramér– von Mises and Anderson–Darling tests) but also produce new types of omnibus tests, which are generally much more powerful than the old ones.
متن کاملComparison of the Goodness-of-Fit Tests: the Pearson Chi-square and Kolmogorov-Smirnov Tests
A test for goodness of fit usually involves examining a random sample from some unknown distribution in order to test the null hypothesis that the unknown distribution function is in fact a known, specified function. The Chi-square test can be applied to any univariate distribution for which you can calculate the cumulative distribution function. The Chi-square test does not have good propertie...
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The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one categorical variable.. The main topics are the effect of estimation on chi-square and its partitions ~~d their relation to Neymants smooth goodness-of-fit test, and the effect of grotp:ing a univariate dis...
متن کاملThe Comparison Between Goodness of Fit Tests for Copula
Copula functions as a model can show the relationship between variables. Appropriate copula function for a specific application is a function that shows the dependency between data in a best way. Goodness of fit tests theoretically are the best way in selection of copula function. Different ways of goodness of fit for copula exist. In this paper we will examine the goodness of fit test...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1975
ISSN: 0090-5364
DOI: 10.1214/aos/1176343197